54488420064 has 240 divisors, whose sum is σ = 173734878240. Its totient is φ = 16653081600.

The previous prime is 54488420059. The next prime is 54488420081. The reversal of 54488420064 is 46002488445.

54488420064 is a `hidden beast` number, since 544 + 8 + 8 + 42 + 0 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5082742 + ... + 5093450.

It is an arithmetic number, because the mean of its divisors is an integer number (723895326).

Almost surely, 2^54488420064 is an apocalyptic number.

54488420064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54488420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86867439120).

54488420064 is an abundant number, since it is smaller than the sum of its proper divisors (119246458176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54488420064 is a wasteful number, since it uses less digits than its factorization.

54488420064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10895 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

It can be divided in two parts, 54488 and 420064, that added together give a cube (474552 = 78³).

The spelling of 54488420064 in words is "fifty-four billion, four hundred eighty-eight million, four hundred twenty thousand, sixty-four".